What is 4*8sqrt(200) ?

The solution to 4*8sqrt(200) is 320sqrt(2)

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simplify 4*8sqrt(200)

simplify

4 \cdot 8200

3202

Solution steps

4 \cdot 8200

Prime factorization of

200 : 2^{3} \cdot 5^{2}

= 4 \cdot 8 2^{3} \cdot 5^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{3} \cdot 5^{2} = 2^{2} \cdot 2 \cdot 5^{2}

= 4 \cdot 8 2^{2} \cdot 2 \cdot 5^{2}

2^{2} \cdot 2 \cdot 5^{2} = 2^{2} 2 5^{2}

= 4 \cdot 8 2^{2} 2 5^{2}

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 4 \cdot 8 \cdot 22 5^{2}

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

= 4 \cdot 8 \cdot 22 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 4 \cdot 8 \cdot 102

Multiply the numbers:

4 \cdot 8 \cdot 10 = 320

= 3202

2 x^{2} - 12 x + 20 = 0

\frac{2}{3} (p + 2) > \frac{5}{6} (p - 3)

5 \cdot 16

\frac{8}{2 7}

\frac{x}{2} = \frac{9}{14}